If satisfies the initial value problem with , what is the value of ?
Answer and explanation
Correct answer: C.
- Step 1: Find the integrating factor: .
- Step 2: Multiply and integrate: . Using integration by parts: . Divide by : .
- Step 3: Apply : . Thus . At : .
Answer
.
Why not the others: calculates incorrectly; uses ; calculates .
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